Genus-three surface
In geometry, a genus-three surface is a smooth closed surface with three holes, or, in other words, a surface of genus three. It can be obtained by attaching three handles to a sphere or by gluing (taking the connected sum) of three tori. It is sometimes called the triple torus.
- Several representations of the genus-three surface
A sphere with three handles
The connected sum of three tori
Pretzel-style triple torus
Dodecagon with opposite edges identified
Tetradecagon with opposite edges identified
Klein quartic
An example of a genus-three Riemann surface is the Klein quartic.
See also
External links
- Weisstein, Eric Wolfgang. "Triple Torus". MathWorld.
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